Question

Every month, a girl gets allowance. Assume last year she had no money, and kept it up to now. Then she spends 1/2 of her money on clothes, then 1/3 of the remaining money on games, and then 1/4 of the remaining money on toys. After she bought all of that, she had $7777 left. Assuming she only gets money by allowance, how much money does she earn every month?

Answer 1

Let x be the original amount of money, then she spent 1/2x+1/3(1/2x)+1/4(2/3(1/2x)) and had 7777 left, so x=1/2x+1/3(1/2x)+1/4(2/3(1/2x))+7777. Since you said it was a year, and assuming she gets the same amount each month, you just need to divide x by 12 and you should get your answer.